252774331572 has 240 divisors, whose sum is σ = 731475996160. Its totient is φ = 67740732864.

The previous prime is 252774331547. The next prime is 252774331573. The reversal of 252774331572 is 275133477252.

252774331572 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252774331573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 56382843 + ... + 56387325.

Almost surely, 2^252774331572 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252774331572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365737998080).

252774331572 is an abundant number, since it is smaller than the sum of its proper divisors (478701664588).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

252774331572 is a wasteful number, since it uses less digits than its factorization.

252774331572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4640 (or 4617 counting only the distinct ones).

The product of its digits is 2469600, while the sum is 48.

The spelling of 252774331572 in words is "two hundred fifty-two billion, seven hundred seventy-four million, three hundred thirty-one thousand, five hundred seventy-two".